Pest control strategies are inevitably affected by limited agricultural resources, in order to simulate the nonlinear effect since the resource limitation.The predator-prey system with B-D functional response is proposed and analyzed.It is proved that there exists a local stable pest-free periodic solution when impulsive period is less than a certain critical value.The existence of nontrivial periodic solution is established on the bifurcation theory.The numerical results show that the system with limited resource has complex dynamical behavior.